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Finding the Fourth Proportional to 10,745.70, 16,113.26 and 6,311.99

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Solution

The fourth proportional to 10,745.70, 16,113.26 and 6,311.99 is: 9,464.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.70 : 16,113.26 = 6,311.99 : x
  2. Step 2: Convert to fraction form
    10,745.70/16,113.26 = 6,311.99/x
  3. Step 3: Cross multiply
    10,745.70x = 16,113.26 × 6,311.99
  4. Step 4: Simplify right side
    10,745.70x = 101,706,792.05
  5. Step 5: Solve for x
    x = 101,706,792.05/10,745.70
  6. Step 6: Final answer
    x = 9,464.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.